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Mrs. Marcelino Name: _____________________ Study Guide/Homework SID 1 Represent data with plots on the real number line (dot plots, histograms, and box plots) 1. 13 people in the class have a pet dog, 4 people have a pet cat, 6 people have a different type of pet and 7 people do not have a pet. Represent the given data with a bar graph. 2. The following numbers represent the distance driven for a pizza delivery truck: 3, 6, 2, 11, 12, 8, 4, 2, 4, 3, 6, 7, 8, 2, 3. Represent the data with a box and whisker plot. 3. You surveyed the class to determine what their favorite grade in school was. 5 people said kindergarten, 6 people said 1st grade, 3 people said 5th grade and 2 people said freshman year. Decide how to best represent the data visually. Mrs. Marcelino SID 2 Name: _____________________ Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. 4. Two world champion hotdog eaters are going to face off in a contest. They are given 10 minutes to eat as many as they can. The results of the last 6 years contests were as follows: Joey Chestnut: 52, 55, 59, 68, 54, 62 Takeru Kobayashi: 53, 52, 59, 64, 45, 53 Compare the center (median and mean) and spread (IQR) of the two sets of data. What do these factors mean in terms of the context of the data? (Write a sentence for each) SID 3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). 5. Identify any outliers in the data sets. If there are outliers, describe what effect it will have on the mean, median and standard deviation. 46, 49, 46, 51, 49, 51, 50, 47, 20, 49, 49, 50 Mrs. Marcelino SID 5 Name: _____________________ Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. 6. Given the data for the majors of college juniors and seniors: Junior Senior Total Science 150 112 Non-Science 210 200 Total Create the Relative frequency table: Total Total How many people were surveyed? Of the juniors that were surveyed what is the joint frequency that they are science majors? What percent of survey takers were science majors? What is the relative frequency that a junior is a non-science major? Who is more likely to be a science major? Explain your reasoning. Mrs. Marcelino SID 6 SID 7 Name: _____________________ Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models. b. Informally assess the fit of a function by plotting and analyzing residuals. c. Fit a linear function for a scatter plot that suggests a linear association. Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. 7. Find the line of best fit by estimation. Interpret the slope and y-intercept of the line of best fit in terms of the context of the data. SID 8 SID 9 Compute (using technology) and interpret the correlation coefficient of a linear fit. Distinguish between correlation and causation. 8. Determine whether the data shows a positive, negative or no correlation. Determine whether the context of the problem should indicate causation.